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Finding the Fourth Proportional to 9,306.55, 13,940.97 and 4,612.42

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Solution

The fourth proportional to 9,306.55, 13,940.97 and 4,612.42 is: 6,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.55 : 13,940.97 = 4,612.42 : x
  2. Step 2: Convert to fraction form
    9,306.55/13,940.97 = 4,612.42/x
  3. Step 3: Cross multiply
    9,306.55x = 13,940.97 × 4,612.42
  4. Step 4: Simplify right side
    9,306.55x = 64,301,608.85
  5. Step 5: Solve for x
    x = 64,301,608.85/9,306.55
  6. Step 6: Final answer
    x = 6,909.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.